Question

Dirichlet convolution of multiplicative functions

score 406 · Answer 1 · 2026-05-15 01:51:25

406

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Dirichlet convolution of multiplicative functions

Published on 15 May 2026 - 1:51

score 308 · Answer 2 · 2026-05-10 14:07:08

308

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Constantes in asymptotique formulas of consecutif primes

Published on 10 May 2026 - 14:07

score 133 · Answer 3 · 2026-05-16 05:46:28

133

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Find all integers $x, y, u, v$ for which holds: $x^2 + y^2 = 3(u^2 + v^2)$.

Published on 16 May 2026 - 5:46

score 161 · Answer 4 · 2026-05-10 15:09:59

161

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How would one solve the conjecture that for any odd n, there is a twin prime between $n^2$ and $(n+2)^2$?

Published on 10 May 2026 - 15:09

score 50 · Answer 5 · 2026-04-12 17:51:01

50

Views

Finding a principal element in an ideal in a cubic extension

Published on 12 Apr 2026 - 17:51

score 295 · Answer 6 · 2026-04-14 05:15:34

295

Views

Proof of weak form of Mazur's theorem by Faltings' theorem

Published on 14 Apr 2026 - 5:15

score 93 · Answer 7 · 2026-05-16 10:09:06

93

Views

If prime $p$ such $p|F_{n}(n\ge 2)$, show that $p\equiv \pm 2 \pmod 5$

Published on 16 May 2026 - 10:09

score 120 · Answer 8 · 2026-04-15 06:29:54

120

Views

find the value $2^n\equiv ?\pmod {12}$

Published on 15 Apr 2026 - 6:29

score 47 · Answer 9 · 2026-04-16 13:27:50

47

Views

Given, $a,b,c\in\mathbb{R}$. Let $p(x)=ax^2+bx+c$. Find equivalent condition that always has an integer value ($p(x)$'s value) for $x\in\mathbb{Z}$.

Published on 16 Apr 2026 - 13:27

score 97 · Answer 10 · 2026-04-13 17:59:10

97

Views

Number theory for MTRP

Published on 13 Apr 2026 - 17:59

score 91 · Answer 11 · 2026-04-15 22:42:21

91

Views

Prove the equality $[\sqrt n+\sqrt{n+1}]=[\sqrt{4n+2}]$.

Published on 15 Apr 2026 - 22:42

score 152 · Answer 12 · 2026-05-11 08:41:59

152

Views

For natural $n$, let $1=d_1<d_2<\cdots<d_k=n$ be the positive divisors of $n$. Find the smallest $n$ such that $2n=d_5^2+d_6^2-1$

Published on 11 May 2026 - 8:41

score 672 · Answer 13 · 2026-04-15 13:36:39

672

Views

Find the number of ordered triplets

Published on 15 Apr 2026 - 13:36

score 138 · Answer 14 · 2026-05-10 22:26:06

138

Views

What is sum of squared elements of Farey sequence?

Published on 10 May 2026 - 22:26

score 47 · Answer 15 · 2026-04-11 16:20:55

47

Views

Can $\sigma(n)$ be computed in polynomial time?

Published on 11 Apr 2026 - 16:20

List Question

Dirichlet convolution of multiplicative functions

Constantes in asymptotique formulas of consecutif primes

Find all integers $x, y, u, v$ for which holds: $x^2 + y^2 = 3(u^2 + v^2)$.

How would one solve the conjecture that for any odd n, there is a twin prime between $n^2$ and $(n+2)^2$?

Finding a principal element in an ideal in a cubic extension

Proof of weak form of Mazur's theorem by Faltings' theorem

If prime $p$ such $p|F_{n}(n\ge 2)$, show that $p\equiv \pm 2 \pmod 5$

find the value $2^n\equiv ?\pmod {12}$

Given, $a,b,c\in\mathbb{R}$. Let $p(x)=ax^2+bx+c$. Find equivalent condition that always has an integer value ($p(x)$'s value) for $x\in\mathbb{Z}$.

Number theory for MTRP

Prove the equality $[\sqrt n+\sqrt{n+1}]=[\sqrt{4n+2}]$.

For natural $n$, let $1=d_1<d_2<\cdots<d_k=n$ be the positive divisors of $n$. Find the smallest $n$ such that $2n=d_5^2+d_6^2-1$

Find the number of ordered triplets

What is sum of squared elements of Farey sequence?

Can $\sigma(n)$ be computed in polynomial time?

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